LMFDB - L-function search results

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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

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Results (1-50 of 64 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
1-15e2-225.106-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.106	$0$	✓	✓	$0.115$	$0$	$1.69867$	Character $\chi_{225}(106, \cdot)$
1-15e2-225.113-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.113	$0$	✓	✓	$-0.225$	$0$	$1.18987$	Character $\chi_{225}(113, \cdot)$
1-15e2-225.121-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.121	$0$	✓	✓	$-0.115$	$0$	$1.45735$	Character $\chi_{225}(121, \cdot)$
1-15e2-225.122-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.122	$0$	✓	✓	$0.384$	$0$	$0.100458$	Character $\chi_{225}(122, \cdot)$
1-15e2-225.128-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.128	$0$	✓	✓	$0.00444$	$0$	$1.04682$	Character $\chi_{225}(128, \cdot)$
1-15e2-225.137-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.137	$0$	✓	✓	$-0.114$	$0$	$1.13744$	Character $\chi_{225}(137, \cdot)$
1-15e2-225.139-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.139	$0$	✓	✓	$-0.135$	$0$	$1.12122$	Character $\chi_{225}(139, \cdot)$
1-15e2-225.158-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.158	$0$	✓	✓	$0.00444$	$0$	$1.84669$	Character $\chi_{225}(158, \cdot)$
1-15e2-225.16-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.16	$0$	✓	✓	$-0.364$	$0$	$0.886470$	Character $\chi_{225}(16, \cdot)$
1-15e2-225.166-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.166	$0$	✓	✓	$-0.475$	$0$	$0.0434335$	Character $\chi_{225}(166, \cdot)$
1-15e2-225.167-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.167	$0$	✓	✓	$0.00444$	$0$	$1.03252$	Character $\chi_{225}(167, \cdot)$
1-15e2-225.169-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.169	$0$	✓	✓	$0.115$	$0$	$1.54038$	Character $\chi_{225}(169, \cdot)$
1-15e2-225.173-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.173	$0$	✓	✓	$-0.274$	$0$	$0.833233$	Character $\chi_{225}(173, \cdot)$
1-15e2-225.184-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.184	$0$	✓	✓	$0.0244$	$0$	$1.61684$	Character $\chi_{225}(184, \cdot)$
1-15e2-225.196-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.196	$0$	✓	✓	$0.00444$	$0$	$0.747330$	Character $\chi_{225}(196, \cdot)$
1-15e2-225.2-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.2	$0$	✓	✓	$0.225$	$0$	$1.44528$	Character $\chi_{225}(2, \cdot)$
1-15e2-225.203-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.203	$0$	✓	✓	$0.384$	$0$	$2.03799$	Character $\chi_{225}(203, \cdot)$
1-15e2-225.211-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.211	$0$	✓	✓	$0.364$	$0$	$2.21713$	Character $\chi_{225}(211, \cdot)$
1-15e2-225.212-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.212	$0$	✓	✓	$0.274$	$0$	$1.35401$	Character $\chi_{225}(212, \cdot)$
1-15e2-225.214-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.214	$0$	✓	✓	$-0.0244$	$0$	$1.74388$	Character $\chi_{225}(214, \cdot)$
1-15e2-225.23-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.23	$0$	✓	✓	$0.114$	$0$	$1.19811$	Character $\chi_{225}(23, \cdot)$
1-15e2-225.31-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.31	$0$	✓	✓	$0.00444$	$0$	$1.46105$	Character $\chi_{225}(31, \cdot)$
1-15e2-225.34-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.34	$0$	✓	✓	$0.135$	$0$	$1.19689$	Character $\chi_{225}(34, \cdot)$
1-15e2-225.38-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.38	$0$	✓	✓	$0.385$	$0$	$2.37736$	Character $\chi_{225}(38, \cdot)$
1-15e2-225.4-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.4	$0$	✓	✓	$-0.115$	$0$	$0.825947$	Character $\chi_{225}(4, \cdot)$
1-15e2-225.47-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.47	$0$	✓	✓	$0.00444$	$0$	$1.62888$	Character $\chi_{225}(47, \cdot)$
1-15e2-225.61-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.61	$0$	✓	✓	$0.475$	$0$	$1.82052$	Character $\chi_{225}(61, \cdot)$
1-15e2-225.77-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.77	$0$	✓	✓	$-0.385$	$0$	$0.762582$	Character $\chi_{225}(77, \cdot)$
1-15e2-225.79-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.79	$0$	✓	✓	$0.00444$	$0$	$1.67008$	Character $\chi_{225}(79, \cdot)$
1-15e2-225.83-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.83	$0$	✓	✓	$-0.384$	$0$	$2.10729$	Character $\chi_{225}(83, \cdot)$
1-15e2-225.92-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.92	$0$	✓	✓	$-0.384$	$0$	$0.847173$	Character $\chi_{225}(92, \cdot)$
1-15e2-225.94-r0-0-0	$1.04$	$1.04$	$1$	$3^{2} \cdot 5^{2}$	225.94	$0$	✓	✓	$0.00444$	$0$	$0.837772$	Character $\chi_{225}(94, \cdot)$
1-15e2-225.103-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.103	$1$	✓	✓	$0.134$	$0$	$1.38910$	Character $\chi_{225}(103, \cdot)$
1-15e2-225.104-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.104	$1$	✓	✓	$-0.365$	$0$	$0.642674$	Character $\chi_{225}(104, \cdot)$
1-15e2-225.11-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.11	$1$	✓	✓	$-0.274$	$0$	$0.738277$	Character $\chi_{225}(11, \cdot)$
1-15e2-225.112-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.112	$1$	✓	✓	$0.0244$	$0$	$1.07013$	Character $\chi_{225}(112, \cdot)$
1-15e2-225.119-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.119	$1$	✓	✓	$0.365$	$0$	$1.98219$	Character $\chi_{225}(119, \cdot)$
1-15e2-225.13-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.13	$1$	✓	✓	$-0.475$	$0$	$1.48966$	Character $\chi_{225}(13, \cdot)$
1-15e2-225.131-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.131	$1$	✓	✓	$-0.245$	$0$	$2.14891$	Character $\chi_{225}(131, \cdot)$
1-15e2-225.133-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.133	$1$	✓	✓	$-0.134$	$0$	$0.969508$	Character $\chi_{225}(133, \cdot)$
1-15e2-225.14-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.14	$1$	✓	✓	$-0.385$	$0$	$2.11818$	Character $\chi_{225}(14, \cdot)$
1-15e2-225.142-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.142	$1$	✓	✓	$-0.134$	$0$	$0.452032$	Character $\chi_{225}(142, \cdot)$
1-15e2-225.146-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.146	$1$	✓	✓	$0.245$	$0$	$0.0741007$	Character $\chi_{225}(146, \cdot)$
1-15e2-225.148-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.148	$1$	✓	✓	$-0.135$	$0$	$1.23397$	Character $\chi_{225}(148, \cdot)$
1-15e2-225.164-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.164	$1$	✓	✓	$0.225$	$0$	$1.24708$	Character $\chi_{225}(164, \cdot)$
1-15e2-225.178-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.178	$1$	✓	✓	$0.245$	$0$	$1.74865$	Character $\chi_{225}(178, \cdot)$
1-15e2-225.187-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.187	$1$	✓	✓	$0.135$	$0$	$1.16553$	Character $\chi_{225}(187, \cdot)$
1-15e2-225.191-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.191	$1$	✓	✓	$-0.114$	$0$	$0.437949$	Character $\chi_{225}(191, \cdot)$
1-15e2-225.194-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.194	$1$	✓	✓	$-0.245$	$0$	$0.821120$	Character $\chi_{225}(194, \cdot)$
1-15e2-225.202-r1-0-0	$24.1$	$24.1$	$1$	$3^{2} \cdot 5^{2}$	225.202	$1$	✓	✓	$0.364$	$0$	$1.10647$	Character $\chi_{225}(202, \cdot)$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.